A Unified Approach To Iterative Image Restoration

Aggelos K. Katsaggelos

doi:10.1117/12.976502

13 October 1987 A Unified Approach To Iterative Image Restoration

Aggelos K. Katsaggelos

Proceedings Volume 0845, Visual Communications and Image Processing II; (1987) https://doi.org/10.1117/12.976502
Event: Cambridge Symposium on Optics in Medicine and Visual Image Processing, 1987, San Diego, CA, United States

Abstract

In this paper a class of iterative image restoration algorithms is derived based on a representation theorem for the generalized inverse of a matrix. These algorithms exhibit a first or higher order of convergence and some of them consist of an "on-line" and an "off-line" computational part. The conditions of convergence and the rate of convergence of these algorithms are derived. A faster rate of convergence can be achieved by increasing the computational load. The algorithms can be applied to the restoration of signals of any dimensionality. Iterative restoration algorithms that have appeared in the literature represent special cases of the class of algorithms described here.

Citation Download Citation

Aggelos K. Katsaggelos "A Unified Approach To Iterative Image Restoration", Proc. SPIE 0845, Visual Communications and Image Processing II, (13 October 1987); https://doi.org/10.1117/12.976502

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